100201002020101 has 2 divisors, whose sum is σ = 100201002020102. Its totient is φ = 100201002020100.

The previous prime is 100201002020039. The next prime is 100201002020111. The reversal of 100201002020101 is 101020200102001.

It is an a-pointer prime, because the next prime (100201002020111) can be obtained adding 100201002020101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89789080004100 + 10411922016001 = 9475710^2 + 3226751^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201002020101 - 2²³ = 100200993631493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201002020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100501010050 + 50100501010051.

It is an arithmetic number, because the mean of its divisors is an integer number (50100501010051).

Almost surely, 2^{100201002020101} is an apocalyptic number.

It is an amenable number.

100201002020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201002020101 is an equidigital number, since it uses as much as digits as its factorization.

100201002020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201002020101 its reverse (101020200102001), we get a palindrome (201221202122102).

The spelling of 100201002020101 in words is "one hundred trillion, two hundred one billion, two million, twenty thousand, one hundred one".